Prime p₀= 2147481044258559509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 58 2 40 2 10 2 94 2 (?)
a_n: 0 2 78 80 108 110 168 170 210 212 222 224 318 320
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 320
Found by: Landjunge
db: batch=80, k=14, 76 28 58 40 10 94

SPT(16)	2147480371099408517	0 12 32 60 72 74 84 110 204 230 240 242 254 282 302 314	-673159150992
SPT(16)	2147480490053270969	0 2 42 50 60 78 102 182 270 350 374 392 402 410 450 452	-554205288540
SPT(16)	2147480492227627891	0 28 42 48 112 126 132 192 196 256 262 276 340 346 360 388	-552030931618
STPT(10)	2147480529435669689	0 2 18 20 30 32 42 44 60 62	-514822889820
SPT(16)	2147480901058745053	0 6 28 48 118 138 196 198 226 228 286 306 376 396 418 424	-143199814456
STPT(10)	2147481020742593741	0 2 6 8 18 20 30 32 36 38	-23515965768
SPT(16)	2147481292347360313	0 10 36 40 70 120 178 210 334 366 424 474 504 508 534 544	248088800804
STPT(10)	2147481558520727237	0 2 90 92 132 134 174 176 264 266	514262167728
SPT(16)	2147481861508615519	0 4 42 82 90 202 238 244 348 354 390 502 510 550 588 592	817250056010
STPT(10)	2147482018658649107	0 2 30 32 42 44 54 56 84 86	974400089598
STPT(10)	2147482126211598887	0 2 42 44 72 74 102 104 144 146	1081953039378